Hello leeingham
Your TV has an HDMI 'Input' - you send signals to the TV over HDMI not receive signals from the TV.
As Jamie S says where you have multiple source devices and a single Input on the TV you require a multiple Input HDMI Switch.
The switch ought not to degrade the video and audio signals travelling over the HDMI pipeline - though anyone in the trade will confirm that you can on occasion run into compatibility problems between various bits of kit due to the nature of the signals flowing over the HDMI connection.
Badly worded web sites will label a Switch in all manner of ways - Hub, Selector etc
All manner and cost of Switch gear available (2x1, 3x1 , 4x1 etc) - some are push button manually operated, most will have IR control and some offer a mix of IR, Push button and Auto source sensing.
Work out how many Sources you are likely to end up with (assuming you may have plans to expand your system) before you plump for a switch that best serves your requirements.
Media Factory - Octava HDMI Switch, Distribution, Extender and Converters
Joe